Geodesic
New quadrature rules for Bernstein measures on the interval $[-1,1]$
Electronic transactions on numerical analysis, Tome 30 (2008), pp. 278-290.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In the present paper, we obtain quadrature rules for Bernstein measures on , having a fixed ! number of nodes and weights such that they exactly integrate functions in the linear space of polynomials with real coefficients.
Classification : 33C47, 42C05
Keywords: quadrature rules, orthogonal polynomials, measures on the real line, Bernstein measures, Chebyshev polynomials 
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     author = {Berriochoa, El{\'\i}as and Cachafeiro, Alicia and Garc{\'\i}a-Amor, Jos\'e M. and Marcell\'an, Francisco},
     title = {New quadrature rules for {Bernstein} measures on the interval $[-1,1]$},
     journal = {Electronic transactions on numerical analysis},
     pages = {278--290},
     publisher = {mathdoc},
     volume = {30},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__30__a8/}
}
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Berriochoa, Elías; Cachafeiro, Alicia; García-Amor, José M.; Marcellán, Francisco. New quadrature rules for Bernstein measures on the interval $[-1,1]$. Electronic transactions on numerical analysis, Tome 30 (2008), pp. 278-290. http://geodesic.mathdoc.fr/item/ETNA_2008__30__a8/